a cell phone company has a basic monthly plan of $40plus $0.45 for many minutes ised over 700. John was charged a total of $48.10. Write an equation to determine how many minutes he must have used during the month.
Answers
Cost of minutes used = $0.45 after 700 minutes
Total cost = $48.10
Let x be the total minutes used
Total cost = 40 + 0.45(x - 700)
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Form the equation and solve x
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40 + 0.45(x - 700) = 48.10
40 + 0.45x - 315 = 48.10
0.45x - 275 = 48.10
0.45x = 48.10 + 275
0.45x = 323.10
x = 323.10 ÷ 0.45
x = 718
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Answer: John had used 718 mins this month
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Related Questions
The original price of an item is $130. The item is on a discount of 1/5 off the original price. You then pay a sales tax of 10%. What is the amount you paid for the item?
Answers
First, find 1/5 of $130, and then subtract that from the original price of the item, because it is a discount.
Divide the price of the item by 5.
130 ÷ 5 = 26
130 - 26 = 104
So, the price of the item (not including tax) is $104. Now, we must calculate the sales tax and then add that onto the price of the item, as tax is money collected by the government.
To calculate the tax, multiply the discounted price of the item by the percentage of tax, and then add it.
104 × 10% = 10.4
104 + 10.4 = 114.4
ANSWER:
The amount of money you paid fot the item is $114.4.
HELP WILL MARK BRAINLIEST!!!!!!!!!!!!!!!!!!
Give me 5 fun facts about Octogons!
Answers
They have 8 sides.
They can be constructed with a straightedge and a compass
They form patterns on some oriental rugs.
Janggi ( a game uses octagonal pieces). Look this up.
What is the simplified version of (1/3) (9x - 9)
Answers
Determine o X do triângulo na questão b
Answers
5x = 90
x = 18
A bakery supplier receives an order for 2 tons of flour from a bakery chain. The flour is shipped in crates. Each crate holds eight 10-pound bags of flour. How many crates does the supplier need to ship to fulfill the order?
Answers
8 x 10 = 80
4000 \ 80 = 50
The supplier needs to ship 50 crates.
Hope this helps
Write 6 percent as a decimal
Answers
Lavonne sold 4 times as many raffle tickets than Kenneth. Lavonne sold 56 raffle tickets. Write and solve an equation to find out how many tickets Kenneth sold.
PLEASE!!!!!! A+
Answers
Hope this helped
56/4=14
then plug it in and you get 14 times 4 = 56
PLEASE HELP
If a student is chosen at random find the probability the student is male given that its a senior. Round to the nearest while percent.
Answers
=========================================
Work Shown:
"given that it's a senior" is an important piece of info that tells us to only focus on the "seniors" column. The word "given" is an indication that we know this information 100%
There are 5 seniors (2+3 = 5) and 2 of them are male. So 2/5 = 0.40 = 40% of the seniors are male. The probability of selecting a male, if we know this person is a senior, is 40%
The probability that a randomly selected senior student is male is 40%.
Given Data:
We have a two-way table representing the number of students by gender and grade level.
The relevant information is that there are 2 male seniors.
Event Definitions:
Let’s define the following events:
A: Student is male.
B: Student is a senior.
Conditional Probability:
We want to find the probability that a student is male given that they are a senior: (P(\text{Male}|\text{Senior})).
We can use the formula for conditional probability: [tex][P(\text{Male}|\text{Senior}) = \frac{P(\text{Male and Senior})}[/tex][tex]{P(\text{Senior})}][/tex]
Calculations:
From the table, we know:
Number of male seniors (A and B): 2
Total number of seniors (B): 5
Therefore: [[tex]P(\text{Male}|\text{Senior}) = \frac{2}{5} = 0.4][/tex]
Rounded Answer:
Rounding to the nearest whole percent:
([tex]0.4 \times[/tex]100% = 40%)
Summary: The probability that a randomly selected senior student is male is 40%.
The velocity of an airplane heading east is 400 knots with a wind velocity of 50 knots blowing toward the northeast. Calculate the resultant speed and direction of the plane. Round to the nearest tenth.
Answers
The velocity of the plane:
east=400 knots
The velocity of the air
50knots north east = 50/√2 north + 50/√2 east
The resultant speed would be:
total speed^2= east^2 + north^2
total speed= √(400+50/√2)^2 + (50/√2)^2
total speed= √(189534.254 + 1250)
total speed= 436.8 knots
2. To count the direction of the plane, you need to find the total speed of x(east/west) and y(north/south) axis separately then use tan formula.
east speed= 400knots + 50/√2 knots= 435.35 knots
north speed= 50/√2knots= 35.35 knots
tan a= opposite/adjacent
tan a = north speed/ east speed
tan a= 35.35/ 435.35
tan a=0.0812
a= 4.6 degrees
A solid right pyramid has a square base. The base edge length is 2 cm longer than the height of the pyramid. If the height is 6 cm, the volume of the pyramid is cm3.
Answers
Height = 6
Base length = 8
Volume of pyramid = width x length x height /3 = 8 x 8 x 6/3 = 128 cm³
Answer:
128
Step-by-step explanation:
Just did the test ;)
if the temperature at 9:00 pm was 12 degrees farenheit,and after 6 hours the temperature dropped to 6 degrees Fahrenheit below 0,what was the rate of change in temperature per hour?
Answers
6-6=0
6 is the rate of change in temperature 6 hours
Then 1 is the rate of change in temperature is 1 hour
Web flixs charges $25 and $2 for each movie family video charges $10 plus $2.50 for each movie find the number of movie rental for both stores charge are the same
Answers
To find the answer you have to do this
(M stands for movies)
$25 + 2m = $10 + 2.50m
-10 -2m -10 -2
$15 = .50m
Divide .50/15
You get 30
Check your answer $25 + 2(30) = $10 + 2.50(30)
$25 + $60 = $10 + $75
$85 = $85
The number of movie rentals for which Web Flixs and Family Video charge the same is 30.
Explanation:To find the number of movie rentals for which Web Flixs and Family Video charge the same, we need to set up an equation and solve for the number of movies. Let's denote the number of movie rentals as 'x'.
For Web Flixs, the cost is $25 + $2 per movie, so the total cost can be expressed as 25 + 2x.
For Family Video, the cost is $10 + $2.50 per movie, so the total cost can be expressed as 10 + 2.50x.
To find the number of movie rentals for which the costs are the same, we set up the equation: 25 + 2x = 10 + 2.50x.
By rearranging the equation and solving for 'x', we can find the number of movie rentals:
25 - 10 = 2.50x - 2x
15 = 0.50x
x = 30
Therefore, when the number of movie rentals is 30, the charges at both Web Flixs and Family Video will be the same.
is a simplified version of 5(x+8)-10x =60
Answers
5x + 40-10x = 60
5x-10x = -5x
40-5x = 60
Subtract 40 from both sides
-5x = 20
X= -4
what is the slope of the line (2,-2) and (9,3)
Answers
slope = 5/7
the slope of the line is
m=5/7
i hope this helped you
Please help
The profits for a large international bank were $2 934 569 000.
What is the scientific notation form of the profit figure? (Round the base/root to 1 decimal point.)
Answers
The amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy. You spent $16.56 to fill up your car with gasoline. If you bought 6 gallons of gasoline, what is the constant of variation
Answers
Let "m" represent the money required.
Let "n" represent the number of gallons filled.
Since it is given to us that the amount of money it takes to fill up your gas tank varies directly with the number of gallons you buy, therefore, this can be written mathematically as:
[tex] m\propto n [/tex]
We know that when we remove the "varies to" sign we have to replace it with the equal to sign and the constant of variation, which we will represent by the letter "k".
Therefore the above expression will become:
[tex] m=k\times n [/tex]
Now, it is given that m=$16.56 and n=6 gallons
Therefore, [tex] 16.56=k\times 6 [/tex]
Dividing both sides by 16.56 we get:
[tex] \therefore k=\frac{16.56}{6}=2.76 [/tex]
Thus, k=2.76 $/gallon is the value of the constant of variation.
? - 12 = -6
What is the missing number?
Answers
find the slope of a line that is parallel to the line -0.75 x minus y equal 3 the slope of a parallel line is
Answers
the ratio of the areas of two similar polygons is 81:64. If the perimeter of the first polygon is 32 cm, what is the perimeter of the second polygon? Round to the nearest tenth
Answers
In two similar polygons, the ratio of their areas is the square of the ratio of their sides. If the sides of any polygon are a and b then :
Ratio of area =[tex] a^{2} :b^{2} [/tex]
Given ratio of area =81:64
Or 81:64=[tex] a^{2} :b^{2} [/tex]
Taking root of both sides
9:8=a:b
The ratio of perimeter of any two similar polygon is equal to the ratio of sides.
Ratio of perimeter = a:b
Perimeter of first polygon is 32 cm.
Let the perimeter of second polygon be x.
32:x=a:b
Or, 32:x=9:8
[tex] \frac{32}{x} =\frac{9}{8}
[/tex]
Cross multiplying
9x= (32)(8)
9x=256
Dividing both sides by 9
x=28.4.
The perimeter of second polygon is 28.4cm.
BRAINLIEST FOR THE FIRST RIGHT ANSWER
Instructions: Select the correct answer.
Audrey has a box that contains one caramel chocolate (C), one milk chocolate (M), one dark chocolate (D), and one white chocolate (W). She picks one chocolate and eats it. Then she picks another chocolate and eats it. What is the sample space of the event?
A. {M-D, M-W, M-C, D-W, D-C, W-C}
B. {M-D, M-W, M-C, D-M, D-C, D-W, W-M, W-C, W-D, C-M, C-D, C-W}
C. {M-D, M-W, M-M, D-M, D-C, D-D, W-M, W-W, W-D, C-M, C-D, C-C}
D. {M-D, M-W, M-C, M-M, D-M, D-C, D-W, D-D, W-M, W-C, W-D, W-W, C-M, C-D, C-W, C-C}
Answers
since there is only 1 flavor of each there would be 3 combinations containing each flavor
So, I know this can be confusing, but basically, it is just asking for all the possibilities of chocolates Audrey could've chosen. There are 4 choices.
C, M, D, and W.
You have 4 choices for the first pick.
You have 4 choices for the second.
4*4= 16
Which choice has 16 options?
"D" has 16 options. It is the correct sample space.
I hope this helps!
~kaikers
triangle LMN is similar to triangle XYZ with altitudes KL and WX. Find KL
Answers
Since LMN~XYZ, that means m∠N = m∠Z.
Since the angles are the same, we also know that
sin N = sin Z
Sine is the ratio of the opposite side to the hypotenuse of a right triangle. The sine of N would be the ratio of sides LK to LN, and the sine of Z would be the ratio of sides XW to XZ. That gives us:
x/28 = 3/12
Cross multiply the proportion:
12*x = 28*3
12x = 84
Divide both sides by 12:
12x/12 = 84/12
x = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180 °.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔLMN is similar to triangle ΔXYZ with altitudes KL and WX.
The ratio of the corresponding sides will remain constant. Then the equation is given as,
KL / XW = LN / XZ
KL / 3 = 28 / 12
KL = (28 x 3) / 12
KL = 84 / 12
KL = 7
The side length (KL) of the triangle ΔLMN will be 7. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
Please could someone help with this one . Thanks I will brainlist
Answers
The area of a square garden is 50 m². How long is the diagonal? 100 m mc028-1.jpg m 25 m 10 m
Answers
Answer:
Option D, 10m
Step-by-step explanation:
The area of a square garden is 50 m²
We have to find the diagonal of the square garden by Pythagoras theorem.
Since ( diagonal )² = 2(side)²
( diagonal )² = 2 × area
= 2 × 50 = 100 m²
diagonal = √100
= 10 meter
Option D., 10m is the answer.
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle B?
Enter your answer in the box.
m∠B=
°
Answers
When you have an inscribed quadrilateral, the opposite sides are supplementary.
So you can write and solve the following equation.
x + 6x + 19 = 180
7x + 19 = 180
7x = 161
x = 23
Now, plug in 23 for X and we will find the measurement of B.
6(23) + 19
138 + 19
157
The measure of angle B is 157 degrees. (The picture is not drawn to scale)
Good luck,
MrEQ
Please help me, thanks.
Answers
Examples:
1. real numbers
2 + 3 = 3 + 2
2. algebraic expressions
x 2 + x = x + x 2
2. Commutative Property of Multiplication.a * b = b * a
Examples:
1. real numbers
5 * 7 = 7 * 5
2. algebraic expressions
(x 3 - 2) * x = x * (x 3 - 2)
3. Associative Property of Addition.(a + b) + c = a + (b + c)
Examples:
1. real numbers
(2 + 3) + 6 = 2 + (3 + 6)
2. algebraic expressions
(x 3 + 2 x) + x = x 3 + (2 x + x)
4. Associative Property of Multiplication.(a * b) * c = a * (b * c)
Examples:
1. real numbers
(7 * 3) * 10 = 7 * (3 * 10)
2. algebraic expressions
(x 2 * 5 x) * x = x 2 * (5 x * x)
5. Distributive Properties of Addition Over Multiplication.a * (b + c) = a * b + a * c
and
(a + b) * c = a * c + b * c
Examples:
1. real numbers
2 * (2 + 8) = 2 * 2 + 2 * 8
(2 + 8) * 10 = 2 * 10 + 8 * 10
2. algebraic expressions
x * (x 4 + x) = x * x 4 + x * x
(x 4 + x) x 2 = x 4 * x 2 + x * x 2
6. The reciprocal of a non zero real number a is 1/a.and a*(1/a) = 1
Examples:
1. real numbers
reciprocal of 5 is 1/5 and 5*(1/5) = 1
7. The additive inverse of a is -a.a + (- a) = 0
Examples:
additive inverse of -6 is -(-6) = 6 and - 6 + (6) = 0
8. The additive identity is 0. and a + 0 = 0 + a = a
9. The multiplicative identity is 1.and a * 1 = 1 * a = a
Can anyone solve this?
Answers
then multiply 3 by 2 to get 6 so you would have (3,6)
NEED HELP ASAPPP
Figure TUVW is transformed to T’U’V’W’, as shown:
Which of the following sequences of transformations is used to obtain figure T’U’V’W’ from TUVW?
Reflection about the y-axis followed by a translation left by 2 units
Reflection about the x-axis followed by a translation left by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units
Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units
Answers
If you look closely, the reflection was made from the y-axis. The reflection would be above or below the x-axis if the reflection was to be made through the x-axis.
Also, the figure was moved 2 units to the left. Hence the reflection was moved 2 units from where the reflection should originally be which was (-6,-4).
Hope this answer is helpful.
The correct answer is Reflection across the y-axis and then Translation 2 units to the left. In a translation, the sign on the x of every point is changed. The reflected image is too far to the left to be just a reflection or even a rotation. That is why I said it was translated 2 units
Step-by-step explanation:
How do you get the value of x
Answers
.. 5x = 180
.. x = 180/5 = 36
How do I solve 20% out of 75
Answers
75 x 0.2 = ?
? = 15
What is the volume of the composite figure ?